Abstract
Recently a geometrical gravitational theory based on the coefficients of connection with two gauge fields was proposed. The objective of the present paper is to show that the geometry based on the coefficients of connection with two gauge fields can be obtained by the successive operations of conformal and projective transformations on Riemannian metric.
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References
Obata, T., et al. (1981).Gen. Rel. Grav.,13, 313.
Eisenhart, L. P. (1972). Non-Riemannian Geometry, American Mathematical Society, Providence, Rhode Island.
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Nishioka, M. A remark on coefficients of connection with two gauge fields. Gen Relat Gravit 15, 591–593 (1983). https://doi.org/10.1007/BF00759573
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DOI: https://doi.org/10.1007/BF00759573